Concepedia

Saddle-node Bifurcation

Saddle-Node Bifurcation is a type of local bifurcation in nonlinear dynamical systems wherein a pair of equilibrium points—one stable and one unstable—collide and annihilate as a parameter crosses a critical threshold, resulting in the disappearance of steady states.

925

Publications

44K

Citations

2K

Authors

848

Institutions

Publications per year

2017–2026

192

Variants

Fold BifurcationTangent Bifurcation

Parents

Publications

925

<i>Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering</i>

Steven H. Strogatz, Ronald F. Fox · Physics Today · 1995 · 2.7K citations

, , +17

NEURAL EXCITABILITY, SPIKING AND BURSTING

Eugene M. Izhikevich · International Journal of Bifurcation and Chaos · 2000 · 2K citations

, , +17

Chimera States for Coupled Oscillators

Daniel M. Abrams, Steven H. Strogatz · Physical Review Letters · 2004 · 1.5K citations · Full text

, , +16

Saddle points and instability of nonlinear hyperbolic equations

L. E. Payne, D. H. Sattinger · Israel Journal of Mathematics · 1975 · 831 citations

, , +13

Point of collapse and continuation methods for large AC/DC systems

Claudio A. Cañizares, F.L. Alvarado · IEEE Transactions on Power Systems · 1993 · 603 citations · Full text

, , +15

1–5 of 925

Authors

2K

  1. ID
    Ian Dobson

    University of Wisconsin–Madison, United States

    12 publications · 1.8K citations

    12

    h-index

  2. HG
    Huaguang Gu

    Tongji University, China

    10 publications · 335 citations

    10

    h-index

  3. SC
    Stavros C. Farantos

    University of Crete, Greece

    9 publications · 456 citations

    9

    h-index

  4. FC
    Fengde Chen

    Fuzhou University, China

    8 publications · 254 citations

    8

    h-index

  5. CA
    Claudio A. Cañizares

    University of Waterloo, Canada

    7 publications · 1.5K citations

    7

    h-index

1–5 of 2K

Institutions

848

  1. Centre National de la Recherche Scientifique

    Paris, France

    19 h-index

    83 publications

    3K citations

  2. Cornell University

    Ithaca, United States

    16 h-index

    43 publications

    7.5K citations

  3. University of Bristol

    Bristol, United Kingdom

    14 h-index

    30 publications

    1.3K citations

  4. University of Wisconsin–Madison

    Madison, United States

    14 h-index

    27 publications

    3.8K citations

  5. University of Maryland, College Park

    College Park, United States

    12 h-index

    25 publications

    1.7K citations

  6. The University of Tokyo

    Tokyo, Japan

    12 h-index

    31 publications

    685 citations

  7. Kyoto University

    Kyoto, Japan

    12 h-index

    23 publications

    756 citations

  8. Humboldt-Universität zu Berlin

    Berlin, Germany

    11 h-index

    25 publications

    724 citations

1–8 of 848

Venues

  1. International Journal of Bifurcation and Chaos

    IJBC · 87 publications · 4.8K citations

    30

    h-index

  2. 24

    h-index

  3. Physical Review E

    PRE · 47 publications · 1.6K citations

    24

    h-index

  4. Physical Review Letters

    PRL · 29 publications · 3.6K citations

    22

    h-index

  5. IEEE Transactions on Power Systems

    24 publications · 2.5K citations

    20

    h-index

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